According to Gedcom from Lloyd Thayne, Fredric Leslie Thompson was born 8 Nov 1886 in Gilman, Alturia, Utah. Legacy states that there is no Alturia County in Utah. Perhaps his birth was in Idaho.
There was no Gooding County in Idaho in 1907

1891 John & Mary were called by L.D.S. Church to go to Mexico. They had four young children at the time: Jerome Samuel, May Elizabeth, Ella and Jon Quincy. Jerome Jefferson Adams and Mary Angel Frost were also called. They started their trip in the spring of 1892 an arrived at Colonia Diaz, Chihuahua, Mexico.

!ALL: Family Records of Mary Willa Thayne Wagner, Daughter of Nephi Whork
Thayne and Mary Elizabeth Adams Thayne.
Luna County did not exist in 1894 in the state of New Mexico. It was not founded until 1901.